Abstract

We survey the application of contraction mapping arguments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.KeywordsBrownian MotionRandom FunctionRandom MeasureIterate Function SystemRandom FractalThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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